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Finding the Fourth Proportional to 729.34, 1,006.50 and 414.60

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Solution

The fourth proportional to 729.34, 1,006.50 and 414.60 is: 572.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.34 : 1,006.50 = 414.60 : x
  2. Step 2: Convert to fraction form
    729.34/1,006.50 = 414.60/x
  3. Step 3: Cross multiply
    729.34x = 1,006.50 × 414.60
  4. Step 4: Simplify right side
    729.34x = 417,294.90
  5. Step 5: Solve for x
    x = 417,294.90/729.34
  6. Step 6: Final answer
    x = 572.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.